A class of fractional integral transforms: A generalization of the fractional Fourier transform

被引：38
作者：
Zayed, AI [1 ]
机构：
[1] De Paul Univ, Dept Math Sci, Chicago, IL 60614 USA
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2002年 / 50卷 / 03期
关键词：
fractional derivatives and integrals; fractional Fourier transform; fractional Hankel transform; fractional transforms;
D O I：
10.1109/78.984750
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The aim of this paper is to present a systematic and unified approach to fractional integral transforms. We introduce a new class of fractional integral transforms that includes the fractional Fourier and Hankel transforms and the fractional integration and differentiation operators as special cases. These fractional transforms may also be viewed as angular transforms, indexed by an angular parameter alpha, since their kernels are obtained by taking the limits of analytic functions in the unit disc along a radius making an angle alpha with the x-axis.
引用
收藏
页码：619 / 627
页数：9
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